Let B = the number of bicycles
Let S = the number of scooters
rate of bicyle is $15.50 PLUS 12% tax = $17.35
rate of scooter is$160 PLUS 12% tax = $179.20
the ratio of bicycles to scooters is 5 : 2
so, B/S = 5/2 or B = (5/2)S
Now we can set up the equation:
17.35B + 179.20S = 1600
Substitute B = (5/2)S = 2.5S
17.35(2.5S) + 179S = 1600
43.375S + 179S = 1600
222.375S = 1600
S = 1600/222.375 = 7.195 = 7 scooters
B = (2.5)(7) = 17.5 = 17 bicycles
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